IXL | Calculate quartiles and interquartile range

In the data set below, what are the lower quartile, the median, and the upper quartile?

lower quartile =

median =

upper quartile =

ref_doc_title.

Learn with an example

question

In the data set below, what are the lower quartile, the median, and the upper quartile?

lower quartile =

median =

upper quartile =

key idea

The median is the number in the middle when the numbers are arranged from least to greatest.

The lower quartile is the median of the lower half of the data.

The upper quartile is the median of the higher half of the data.

solution

Find the median in the middle of the set.

The median is the mean of the two middle numbers. Find the mean of 7 and 9.

The median is 8.

Divide the numbers into a lower half and an upper half.

Find the lower quartile in the middle of the lower half.

The lower quartile is 6.

Find the upper quartile in the middle of the upper half.

The upper quartile is 9.

Put the three numbers in order. The lower quartile is 6, the median is 8, and the upper quartile is 9.

Looking for more? Try these:

Lesson: Interquartile range

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	04

SmartScore
out of 100
IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more

Teacher tools

Work it out

Not feeling ready yet? These can help:

HH.1Calculate mean, median, mode, and range

Lesson: Interquartile range

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!